A reduction from weak agnostic learning of class C to efficient tomography of states with bounded l1-extent w.r.t. C, with a concrete algorithm for stabilizer states running in poly(n, (ξ/ε)^log(ξ/ε)) time.
arXiv preprint arXiv:1907.13623 , year=
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Energy and heat measurements provide witnesses that certify quantum magic without full state tomography.
A new VQE measurement protocol using hard-core bosonic approximations and iterative residual estimation reduces measurement counts and circuit depth by 30-80% for molecular systems.
Geometric partitioning of lattice Hamiltonians into local patches enables energy measurements in patch eigenbases, producing lower-variance estimators than Pauli grouping for eigenstates with rigorous guarantees even under depolarizing noise.
Benchmark comparing fusion readout and grouped-Pauli methods for Fibonacci anyon Hamiltonians on Floquet and VQE circuits shows no uniform winner and provides scaling laws for measurement budgets.
A literature review of VQAs covering ansatz design, classical optimization, barren plateaus, error mitigation strategies, and theoretical adaptations for fault-tolerant quantum computing.
citing papers explorer
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Tomography of quantum states with bounded extent
A reduction from weak agnostic learning of class C to efficient tomography of states with bounded l1-extent w.r.t. C, with a concrete algorithm for stabilizer states running in poly(n, (ξ/ε)^log(ξ/ε)) time.
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Every Little Thing Heat Does Is Magic
Energy and heat measurements provide witnesses that certify quantum magic without full state tomography.
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State Specific Measurement Protocols for the Variational Quantum Eigensolver
A new VQE measurement protocol using hard-core bosonic approximations and iterative residual estimation reduces measurement counts and circuit depth by 30-80% for molecular systems.
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Shot-noise reduction for lattice Hamiltonians
Geometric partitioning of lattice Hamiltonians into local patches enables energy measurements in patch eigenbases, producing lower-variance estimators than Pauli grouping for eigenstates with rigorous guarantees even under depolarizing noise.
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Native topological readout on qubit hardware: a Fibonacci-chain benchmark of measurement-compilation trade-offs
Benchmark comparing fusion readout and grouped-Pauli methods for Fibonacci anyon Hamiltonians on Floquet and VQE circuits shows no uniform winner and provides scaling laws for measurement budgets.
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A Review of Variational Quantum Algorithms: Insights into Fault-Tolerant Quantum Computing
A literature review of VQAs covering ansatz design, classical optimization, barren plateaus, error mitigation strategies, and theoretical adaptations for fault-tolerant quantum computing.